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Finding the Fourth Proportional to 41,878.38, 57,791.49 and 23,015.10

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Solution

The fourth proportional to 41,878.38, 57,791.49 and 23,015.10 is: 31,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,878.38 : 57,791.49 = 23,015.10 : x
  2. Step 2: Convert to fraction form
    41,878.38/57,791.49 = 23,015.10/x
  3. Step 3: Cross multiply
    41,878.38x = 57,791.49 × 23,015.10
  4. Step 4: Simplify right side
    41,878.38x = 1,330,076,921.50
  5. Step 5: Solve for x
    x = 1,330,076,921.50/41,878.38
  6. Step 6: Final answer
    x = 31,760.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.